| 摘要 |
PROBLEM TO BE SOLVED: To provide an error correction and decoding system which corrects an error without using division operation on a finite body by using the property of zef logarithm as the element technology of a decoding process part for error correction code and can reduce a circuit scale. SOLUTION: This decoding system eliminates division operation by applying zef logarithm to corrected-version Peterson algorithm as decoding algorithm for Reed-Solomon code, constitutes zef logarithm in nest-like structure as to a chain search which makes an error position search to reduce the circuit scale, a actualizes an efficient error correction by using a memory 506.
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